Surjective L-2-isometries on the Projection Lattice

doi:10.1007/s10114-021-0306-9

CSpace

	Surjective L-2-isometries on the Projection Lattice
	Wang, Li Guang 1; Wu, Wen Ming 2; Yuan, Wei 3,4
	2021-03-25
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
页码	10
摘要	Recently, Geher and Semrl have characterized the general form of surjective isometries of the set of all projections on an infinite-dimensional separable Hilbert space using unitaries and antiunitaries. In this paper, we study the surjective L-2-isometries of the projection lattice of an infinite dimensional Hilbert space and show that every such isometry can also be described by unitaries and antiunitaries.
关键词	Wigner’ s theorem L-2-isometries projections tracial weight
DOI	10.1007/s10114-021-0306-9
收录类别	SCI
语种	英语
资助项目	NFS of China[11871303] ; NFS of China[11871127] ; NFS of China[11971463] ; NSF of Shandong Province[ZR2019MA039] ; Chongqing Science and Technology Commission[cstc2019jcyj-msxmX0256]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000633299600003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58388
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, Wen Ming
作者单位	1.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China 2.Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, Li Guang,Wu, Wen Ming,Yuan, Wei. Surjective L-2-isometries on the Projection Lattice[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2021:10.
APA	Wang, Li Guang,Wu, Wen Ming,&Yuan, Wei.(2021).Surjective L-2-isometries on the Projection Lattice.ACTA MATHEMATICA SINICA-ENGLISH SERIES,10.
MLA	Wang, Li Guang,et al."Surjective L-2-isometries on the Projection Lattice".ACTA MATHEMATICA SINICA-ENGLISH SERIES (2021):10.